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arXiv 0812.4029hep-phastro-phgr-qc
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非局域量子相干性标量场的动力学理论

Kinetic theory for scalar fields with nonlocal quantum coherence

Matti Herranen, Kimmo Kainulainen, Pyry Matti Rahkila

摘要:

我们导出了标量场在时间(相干粒子产生)或空间(量子反射)上经历相干演化的量子动力学方程。我们的主要发现是,在具有一定时空对称性的系统中,量子相干性表现为动力学2点关联函数的新谱解的形式。这种光谱结构导致一致的近似动力学方程,描述相干演化存在的散肩碰撞。我们通过求解玻色子克莱因问题和非相对论方阱势的束缚态来说明这种方法。然后,我们比较我们的谱相空间定义的粒子数的非平衡场论的其他定义。最后,我们将明确计算的相互作用的相干粒子的产生的情况下,耦合到振荡的背景不稳定的字段。

英文摘要:

We derive quantum kinetic equations for scalar fields undergoing coherent evolution either in time (coherent particle production) or in space (quantum reflection). Our central finding is that in systems with certain space-time symmetries, quantum coherence manifests itself in the form of new spectral solutions for the dynamical 2-point correlation function. This spectral structure leads to a consistent approximation for dynamical equations that describe coherent evolution in presence of decohering collisions. We illustrate the method by solving the bosonic Klein problem and the bound states for the nonrelativistic square well potential. We then compare our spectral phase space definition of particle number to other definitions in the nonequilibrium field theory. Finally we will explicitly compute the effects of interactions to coherent particle production in the case of an unstable field coupled to an oscillating background.

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